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Finding the Fourth Proportional to 18,705.74, 25,805.12 and 11,147.76

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Solution

The fourth proportional to 18,705.74, 25,805.12 and 11,147.76 is: 15,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.74 : 25,805.12 = 11,147.76 : x
  2. Step 2: Convert to fraction form
    18,705.74/25,805.12 = 11,147.76/x
  3. Step 3: Cross multiply
    18,705.74x = 25,805.12 × 11,147.76
  4. Step 4: Simplify right side
    18,705.74x = 287,669,228.79
  5. Step 5: Solve for x
    x = 287,669,228.79/18,705.74
  6. Step 6: Final answer
    x = 15,378.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.